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Finding the Fourth Proportional to 65,188.68, 97,788.24 and 20,821.68

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Solution

The fourth proportional to 65,188.68, 97,788.24 and 20,821.68 is: 31,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,188.68 : 97,788.24 = 20,821.68 : x
  2. Step 2: Convert to fraction form
    65,188.68/97,788.24 = 20,821.68/x
  3. Step 3: Cross multiply
    65,188.68x = 97,788.24 × 20,821.68
  4. Step 4: Simplify right side
    65,188.68x = 2,036,115,441.04
  5. Step 5: Solve for x
    x = 2,036,115,441.04/65,188.68
  6. Step 6: Final answer
    x = 31,234.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.